A = \(\dfrac{3n-13}{n-4}\) đkxđ n \(\ne\) 4
A \(\in\) Z ⇔ 3n - 13 \(⋮\) n - 4
3n - 12 - 1 \(⋮\) n - 4
(3n - 12) - 1 \(⋮\) n - 4
3.( n - 4) - 1 ⋮ n - 4
1 \(⋮\) n - 4
n - 4 \(\in\) Ư( 1) = { -1; 1}
n \(\in\) { 3; 5}
B = \(\dfrac{4n+19}{2n+3}\) (đkxđ n \(\ne\) - \(\dfrac{3}{2}\))
B = \(\dfrac{4n+19}{2n+3}\)
B \(\in\) Z ⇔ 4n + 19 \(⋮\) 2n + 3
4n + 6 + 13 ⋮ 2n + 3
13 ⋮ 2n + 3
2n + 3 \(\in\) Ư(13) = { -13; -1; 1; 13}
n \(\in\) { - 8; -2; -1; 5}
c, C = \(\dfrac{4n+35}{n-1}\) đkxđ n \(\ne\) 1
C \(\in\) Z ⇔ 4n + 35 ⋮ n - 1
4n - 4 + 39 ⋮ n - 1
4.(n-1) + 39 ⋮ n - 1
39 ⋮ n - 1
n - 1 \(\in\) Ư(39) = { -39; - 13; -3; -1; 1; 3; 13; 39}
n \(\in\) { - 38; -12; -2; 0; 2; 4; 14; 40}
